Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-23
Phys.Rev.Lett.103:052301,2009
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 3 figures, errors of calcualtions were corrected, and some rederences and discussions were added. Accepted version fo
Scientific paper
10.1103/PhysRevLett.103.052301
The shear viscosity coefficient and the corresponding relaxation time for causal dissipative hydrodynamics are calculated based on the microscopic formula proposed in [T. Koide and T. Kodama, Phys. Rev. \textbf{E 78}, 051107 (2008)]. Here, the exact formula is transformed into a more compact form and applied it to evaluate these transport coefficients in the chiral perturbation theory and perturbative QCD. It is shown that in the leading order calculation, the causal shear viscosity coefficient $\eta$ reduces to that of the ordinary Green-Kubo-Nakano formula, and the relaxation time $\tau_{\pi}$ is related to $\eta$ and pressure $P$ by a simple relationship, $\tau_{\pi}=\eta/P$.
Kodama Tadayuki
Koide Takashi
Nakano Eiichi
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